Method and system for pilot-based time domain phase noise mitigation for coherent receiver

1. A method for phase noise mitigation for a coherent receiver in either an OFDM or single carrier based transmission system comprising the steps of: applying a frequency offset and coarse phase noise compensation based on a radio frequency RF tone or using a phase lock loop PLL m-th power procedure, responsive to a received signal from a digital signal processed transmission with an added pilots signal over an optical system, applying a fine phase noise compensation to the received signal based on comparison of the pilots signal in a time domain by: splitting the received signal into packets, each packet having a length L and overlap length M at a packet beginning, passing each packet through a multi-band filter to filter out the pilot signals, wherein the overlap length M is at least equal to a filter length, comparing the received pilot signals and the original transmitted added pilot signals in the time domain to determine the phase difference sequence having the length L, and multiplying of a conjugate of the phase difference sequence to the received signal having the length L in the time domain; removing the pilots from the fine phase noise compensated received signal; and demodulating the remaining pilotless signal.

2. The method of claim 1 , wherein said fine phase noise compensation further comprises removing the overlap length.

3. A system for phase noise mitigation for a coherent receiver in either an OFDM or single carrier based transmission system, said system comprising: a digital signal processor implementing the following functions: a frequency offset and coarse phase noise compensation based on a radio frequency RF tone or using a phase lock loop PLL m-th power procedure applied to a received signal from a digital signal processed transmission with an added pilots signal over an optical system, a fine phase noise compensation to the received signal based on comparison of the pilots signal in a time domain by: splitting the received signal into packets, each packet having a length L and overlap length M at a packet beginning, passing each packet through a multi-band filter to filter out the pilot signals, wherein the overlap length M is at least equal to a filter length, wherein phase difference is determined by comparing the received pilot signals and the original transmitted added pilot signals in the time domain to determine the phase difference sequence having the length L, and multiplying of a conjugate of the phase difference sequence to the received signal having the length L in the time domain; a filter for removing the pilots from the fine phase noise compensated received signal; and a demodulator for demodulating the remaining pilotless signal.

4. The method of claim 3 , wherein said fine phase noise compensation further comprises removing the overlap length.